Three pairwise co-prime numbers have the property that the product of the first and second is 551, and the product of the second and third is 1073. What is the sum of these three numbers?

Explanation

Since the three numbers are pairwise co-prime, their only common divisor is 1. The second number appears in both products, so it must be the greatest common divisor (GCD) of 551 and 1073, which is 29. Dividing 551 by 29 gives the first number as 19, and dividing 1073 by 29 gives the third number as 37. Adding them together, 19 + 29 + 37 equals 85.